106300865440 has 192 divisors, whose sum is σ = 313899763968. Its totient is φ = 33048576000.

The previous prime is 106300865387. The next prime is 106300865459. The reversal of 106300865440 is 44568003601.

It is a happy number.

It is a super-2 number, since 2×106300865440² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106300865440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4929562 + ... + 4951078.

It is an arithmetic number, because the mean of its divisors is an integer number (1634894604).

Almost surely, 2^106300865440 is an apocalyptic number.

106300865440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106300865440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156949881984).

106300865440 is an abundant number, since it is smaller than the sum of its proper divisors (207598898528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106300865440 is a wasteful number, since it uses less digits than its factorization.

106300865440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21951 (or 21943 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 106300865440 in words is "one hundred six billion, three hundred million, eight hundred sixty-five thousand, four hundred forty".